報告承辦單位: 數學與統計學院
報告內容: The Fourier pseudo-spectral numerical schemes are considered for nonlinear partial differential equations (PDE). Stability and convergence analysis are analyzed in details, such as viscous Burgers’equation and incompressible fluid equations. Related applications to incompressible quasi-geostrophic equation will also be addressed, in both 2-D and 3-D, for smooth and vortex sheet initial data. In addition, high order time stepping schemes (up to fourth order accuracy order) will be explored in detail. Unconditional stability is established for the implicit time stepping algorithms.
報告人姓名: 王成
報告人所在單位: 馬薩諸塞大學達特茅斯分校
報告人職稱/職務及學術頭銜: 教授
報告時間: 2025年6月6日上午8:30-12:30
報告地點: 云塘校區理科樓A212
報告人簡介: Dr. Cheng Wang is a professor in Department of Mathematics at the University of Massachusetts Dartmouth (UMassD). He obtained hisPh.D degree from Temple University in 2000, under the supervision of Prof. Jian-Guo Liu. Prior to joining UMassD in 2008 as an assistant professor, he was a Zorn postdoc at Indiana University from 2000 to 2003, under the supervision of Roger Temam and Shouhong Wang, and he worked as an assistant professor at University of Tennessee at Knoxville from 2003 to 2008. Dr. Wang’s research interests include development of stable, accurate numerical algorithms for partial differential equations and numerical analysis. He has published more than 130 papers with more than 8000 citations.